Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-2 Solving Inequalities Using Addition or Subtraction - Practice and Problem-Solving Exercises - Page 175: 37



Work Step by Step

$\frac{1}{4}+a\geq-\frac{3}{4}$ To get a on one side by itself, subtract $-\frac{1}{4}$: $\frac{1}{4}+a-\frac{1}{4}\ge \:-\frac{3}{4}-\frac{1}{4}$ Simplfy: $a\geq-\frac{3}{4}-\frac{1}{4}$ apply rule:$\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$: $a\geq\frac{-3-1}{4}$ $a\geq\frac{-4}{4}$ $a\geq-1$ Let's check: $a=-1$ $-1\geq-1$ $true$ $a=2$ $2\geq-1$ $true$
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